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Finding the Third Proportional to 42,548 and 63,803

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Solution

The third proportional to 42,548 and 63,803 is: 95,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,548 : 63,803 = 63,803 : x
  2. Step 2: Convert to fraction form
    42,548/63,803 = 63,803/x
  3. Step 3: Cross multiply
    42,548x = 63,803 × 63,803
  4. Step 4: Simplify right side
    42,548x = 4,070,822,809
  5. Step 5: Solve for x
    x = 4,070,822,809/42,548
  6. Step 6: Final answer
    x = 95,676.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.